{"paper":{"title":"Sharp Spectral Asymptotics for Operators with Irregular Coefficients. IV. Multidimensional Schroedinger operator with a strong magnetic field. Full-rank case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Victor Ivrii","submitted_at":"2005-10-16T09:57:32Z","abstract_excerpt":"With derive sharp spectral asymptotics (with the remainder estimate $O(\\mu ^{-1}h^{1-d}+\\mu ^{\\frac{d} {2}-1}h^{1-\\frac{d}{2}})$ for $d$-dimensional Schr\\\"odinger operator with a strong magnetic field; here $h$ and $\\mu$ are Plank and binding constants respectively and magnetic intensity matrix has full rank at each point.\n  In comparison with version 1 of 4.5 year ago this version contains more results (we also study some degenerations), improvements and some minor corrections."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0510327","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}